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小顶点树的拉普拉斯积和式及比率
The Laplacian Permanent and Ratio of Small Vertex Trees

DOI: 10.12677/pm.2025.154143, PP. 419-429

Keywords: 拉普拉斯矩阵,积和式,拉普拉斯比率
Laplacian Matrices
, Permanents, Laplacian Ratios

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Abstract:

对于一个图G,若其连通且无圈,我们就称G是一棵树,记为T。本文计算小顶点树的拉普拉斯矩阵积和式以及拉普拉斯比率,并且得到一些限定参数的大小的结果。
For a graph G, if it is connected and acyclic, we call G a tree, denoted as T. In this paper, the permanents of the Laplacian matrices and the Laplacian ratios of small vertex trees are calculated, and some results on limiting the magnitudes of certain parameters are obtained.

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